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Finding the Fourth Proportional to 9,819.75, 14,729.63 and 2,894.25

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Solution

The fourth proportional to 9,819.75, 14,729.63 and 2,894.25 is: 4,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.75 : 14,729.63 = 2,894.25 : x
  2. Step 2: Convert to fraction form
    9,819.75/14,729.63 = 2,894.25/x
  3. Step 3: Cross multiply
    9,819.75x = 14,729.63 × 2,894.25
  4. Step 4: Simplify right side
    9,819.75x = 42,631,217.16
  5. Step 5: Solve for x
    x = 42,631,217.16/9,819.75
  6. Step 6: Final answer
    x = 4,341.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.